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Finding the Fourth Proportional to 7,707.81, 10,628.82 and 6,592.44

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Solution

The fourth proportional to 7,707.81, 10,628.82 and 6,592.44 is: 9,090.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,707.81 : 10,628.82 = 6,592.44 : x
  2. Step 2: Convert to fraction form
    7,707.81/10,628.82 = 6,592.44/x
  3. Step 3: Cross multiply
    7,707.81x = 10,628.82 × 6,592.44
  4. Step 4: Simplify right side
    7,707.81x = 70,069,838.19
  5. Step 5: Solve for x
    x = 70,069,838.19/7,707.81
  6. Step 6: Final answer
    x = 9,090.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.